The accuracy specifications for the "basic" versions (non 1 1/2" guarantee option) of each of these two models are different in theory (a five shot group for the PII and a ten shot group for the National Match). I own both and feel that in practice they are the really the same. Both "could possibly" take you to Master (given the correct load, your skill and the luck of not buying a dog).

All that being said, while I have several Les Baers that are tack drivers (and have remained so for many years), my National Match was a p.o.s. and had to be rebuilt (barrel, trigger, etcetera) by Jon Eulette. It's now easily my most accurate M1911.